The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers

A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers
A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers
The extension to the split-step Fourier method (SSFM) for Schro?dinger-type pulse propagation equations that we propose in this article is designed with the accurate simulation of pulses in the femtosecond regime in single-mode communication fibers in mind. We show that via an appropriate operator splitting scheme, Kerr nonlinearity and the self-steepening and stimulated Raman scattering terms can be combined into a single sub-step consisting of an inhomogeneous quasilinear first-order hyperbolic system for the real-valued quantities intensity and phase. First- and second-order accurate shock-capturing upwind schemes have been developed specifically for this nonlinear sub-step, which enables the accurate and oscillation-free simulation of signals under the influence of Raman scattering and extreme self-steepening with the SSFM. Benchmark computations of ultra-fast Gaussian pulses in fibers with strong nonlinearity demonstrate the superior approximation properties of the proposed approach.
fiber optical communication, raman scattering, self-steepening, shock-capturing upwind scheme, split-step fourier method (SSFM), ultra-fast gaussian pulse
0733-8724
2008-2017
Deiterding, R.
ce02244b-6651-47e3-8325-2c0a0c9c6314
Glowinski, R.
62ba01b0-a2ba-45bd-80c5-2356ea212c24
Oliver, H.
cc2c7593-3e11-4529-b580-7cf4573f38df
Poole, S.
4e7e9a5a-df95-4f65-a21d-00d7dfcd5019
Deiterding, R.
ce02244b-6651-47e3-8325-2c0a0c9c6314
Glowinski, R.
62ba01b0-a2ba-45bd-80c5-2356ea212c24
Oliver, H.
cc2c7593-3e11-4529-b580-7cf4573f38df
Poole, S.
4e7e9a5a-df95-4f65-a21d-00d7dfcd5019

Deiterding, R., Glowinski, R., Oliver, H. and Poole, S. (2013) A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers. IEEE Journal of Lightwave Technology, 31, 2008-2017. (doi:10.1109/JLT.2013.2262654).

Record type: Article

Abstract

The extension to the split-step Fourier method (SSFM) for Schro?dinger-type pulse propagation equations that we propose in this article is designed with the accurate simulation of pulses in the femtosecond regime in single-mode communication fibers in mind. We show that via an appropriate operator splitting scheme, Kerr nonlinearity and the self-steepening and stimulated Raman scattering terms can be combined into a single sub-step consisting of an inhomogeneous quasilinear first-order hyperbolic system for the real-valued quantities intensity and phase. First- and second-order accurate shock-capturing upwind schemes have been developed specifically for this nonlinear sub-step, which enables the accurate and oscillation-free simulation of signals under the influence of Raman scattering and extreme self-steepening with the SSFM. Benchmark computations of ultra-fast Gaussian pulses in fibers with strong nonlinearity demonstrate the superior approximation properties of the proposed approach.

Text
paper2_0.pdf - Accepted Manuscript
Download (301kB)

More information

Published date: 13 May 2013
Keywords: fiber optical communication, raman scattering, self-steepening, shock-capturing upwind scheme, split-step fourier method (SSFM), ultra-fast gaussian pulse
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 380648
URI: http://eprints.soton.ac.uk/id/eprint/380648
ISSN: 0733-8724
PURE UUID: d49cd334-24f9-4982-bedc-26284000df04
ORCID for R. Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

Catalogue record

Date deposited: 08 Sep 2015 15:59
Last modified: 21 Nov 2021 03:12

Export record

Altmetrics

Contributors

Author: R. Deiterding ORCID iD
Author: R. Glowinski
Author: H. Oliver
Author: S. Poole

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×